Question

Which statement correctly describes the solution(s) of the equation below?

−
2
+
x
−
3
=
2
x
+
5
−
x

A.
The equation has one solution, which is
−
5
.

B.
The equation has one solution, which is
5
.

C.
The equation has infinitely many solutions.

D.
The equation has no solution.

Answer 1

D. The equation has no solution.

Explanation:

−2 + x − 3 = 2x + 5 − x

Combine like terms on each side.

x - 5 = x + 5

Subtract x from both sides.

-5 = 5

Since -5 = 5 is a false statement, this equation has no solution.

Answer: D. The equation has no solution.